nah, I birded that Bransholme area for a while, and still visit, and never had any bother. Chavs don't go there much, it's mainly the odd motorbike and dog walker. the area at the end of the road is now a council depot, and there's a fishing bailiff at the ponds, so you're usually safe. There's the odd airgun, but they're usually dozy kids, and the council have cracked down on them and the bikes. I used to take a scope and bins and you rarely bump into anyone except people fishing at the pond. As for parking, just park in one of the streets at top of Bransholme Rd or on Nth Bransholme (Ladyside or Dalkeith close) and cross the dyke (it's rarely more than 6" deep). You're at no more risk than anywhere else in Hull (except Craven Park).
Best time of day is early, obviously, before dog walkers get going. Or during the week. It can be pretty good in early May - 7 species of warbler, cuckoo, barn owl, the odd marsh harrier, merlin and peregrine, turtle dove, plus occasional redstart etc. Whinchat and wheatear are fairly regular on passage.
It used to have breeding LRP, Snipe and Redshank, and the fields just to the north get waders when they flood a bit (like they are now and last year) - had 4 Temminck's Stints in a week during the 80s, regular Ruff, Whimbrel, Common/Green Sand etc. The area round the fishing ponds still gets waders - whimbrel, snipe, jack snipe and lapwing. Best fields for waders are the two at the east end, which have horses grazing and are fenced - they have open bits of water and regularly have 20-30 snipe and fairly regular jack snipe. Breeding lapwing too.
I've had 127 species there. here's the site list:
Little Grebe Tachybaptus ruficollis A
Great Crested Grebe Podiceps cristatus A
Great Cormorant Phalacrocorax carbo A
Grey Heron Ardea cinerea A
Mute Swan Cygnus olor AC
Whooper Swan Cygnus cygnus A
Pink-footed Goose Anser brachyrhynchus A
Greylag Goose Anser anser AC
Canada Goose Branta canadensis AC
Barnacle Goose Branta leucopsis A
Common Shelduck Tadorna tadorna A
Eurasian Wigeon Anas penelope A
Eurasian Teal Anas crecca A
Mallard Anas platyrhynchos AC
Shoveler Anas clypeata
Tufted Duck Aythya fuligula A
Common Pochard
Common Goldeneye Bucephala clangula A
Eurasian Marsh Harrier Circus aeruginosus A
Eurasian Sparrowhawk Accipiter nisus A
Common Kestrel Falco tinnunculus A
Merlin Falco columbarius A
Eurasian Hobby Falco subbuteo A
Peregrine Falcon Falco peregrinus A
Red-legged Partridge Alectoris rufa C
Grey Partridge Perdix perdix AC
Common Pheasant Phasianus colchicus C
Water Rail Rallus aquaticus A
Common Moorhen Gallinula chloropus A
Common Coot Fulica atra A
Eurasian Oystercatcher Haematopus ostralegus A
Little Ringed Plover Charadrius dubius A
Ringed Plover Charadrius hiaticula A
European Golden Plover Pluvialis apricaria A
Northern Lapwing Vanellus vanellus A
Dunlin Calidris alpina A
Jack Snipe Lymnocryptes minimus A
Common Snipe Gallinago gallinago A
Eurasian Woodcock Scolopax rusticola A
Whimbrel Numenius phaeopus A
Eurasian Curlew Numenius arquata A
Common Redshank Tringa totanus A
Green Sandpiper Tringa ochropus A
Common Sandpiper Actitis hypoleucos A
Ruff Philomachus pugnax
Ruddy Turnstone Arenaria interpres A
Black-headed Gull Larus ridibundus A
Common Gull Larus canus A
Lesser Black-backed Gull Larus fuscus A
Herring Gull Larus argentatus A
Great Black-backed Gull Larus marinus A
Feral Pigeon Columba livia AC
Stock Pigeon Columba oenas A
Common Wood Pigeon Columba palumbus A
Eurasian Collared Dove Streptopelia decaocto A
European Turtle Dove Streptopelia turtur A
Common Cuckoo Cuculus canorus A
Barn Owl Tyto alba A
Little Owl Athene noctua C
Tawny Owl Strix aluco A
Long-eared Owl Asio otus A
Short-eared Owl Asio flammeus A
Common Swift Apus apus A
Common Kingfisher Alcedo atthis A
Great Spotted Woodpecker Dendrocopos major A
Green Woodpecker Picus viridis
Sky Lark Alauda arvensis A
Sand Martin Riparia riparia A
Barn Swallow Hirundo rustica A
House Martin Delichon urbica A
Meadow Pipit Anthus pratensis A
Yellow Wagtail Motacilla flava A
Grey Wagtail Motacilla cinerea A
Pied Wagtail Motacilla alba A
(White Wagtail Motacilla alba )
Bohemian Waxwing Bombycilla garrulus A
Winter Wren Troglodytes troglodytes A
Hedge Accentor Prunella modularis A
European Robin Erithacus rubecula A
Common Redstart Phoenicurus phoenicurus A
Whinchat Saxicola rubetra A
Stonechat Saxicola torquata A
Northern Wheatear Oenanthe oenanthe A
Common Blackbird Turdus merula A
Fieldfare Turdus pilaris A
Song Thrush Turdus philomelos A
Redwing Turdus iliacus A
Mistle Thrush Turdus viscivorus A
Sedge Warbler Acrocephalus schoenobaenus A
Eurasian Reed Warbler Acrocephalus scirpaceus A
Grasshopper Warbler Locustella naevia A
Lesser Whitethroat Sylvia curruca A
Common Whitethroat Sylvia communis A
Blackcap Sylvia atricapilla A
Common Chiffchaff Phylloscopus collybita A
Willow Warbler Phylloscopus trochilus A
Goldcrest Regulus regulus A
Spotted Flycatcher Muscicapa striata A
Red-breasted Flycatcher Ficedula parva A
Long-tailed Tit Aegithalos caudatus A
Willow Tit Parus montanus A
Coal Tit Parus ater A
Blue Tit Parus caeruleus A
Great Tit Parus major A
Eurasian Treecreeper Certhia familiaris A
Great Grey Shrike Lanius excubitor A
Eurasian Jay Garrulus glandarius A
Black-billed Magpie Pica pica A
Eurasian Jackdaw Corvus monedula A
Rook Corvus frugilegus A
Carrion Crow Corvus corone A
Hooded Crow Corvus cornix A
Common Starling Sturnus vulgaris A
House Sparrow Passer domesticus A
Eurasian Tree Sparrow Passer montanus A
Chaffinch Fringilla coelebs A
Brambling Fringilla montifringilla A
European Greenfinch Carduelis chloris A
European Goldfinch Carduelis carduelis A
Siskin Carduelis spinosa
Lesser Redpoll Carduelis cabaret
Common Linnet Carduelis cannabina A
Common Bullfinch Pyrrhula pyrrhula A
Yellowhammer Emberiza citrinella A
Reed Bunting Emberiza schoeniclus A
Snow Bunting Plectrophenax nivalis
Lapland Bunting Calcarius lapponicus
Corn Bunting Miliaria calandra A
(plus Temminck's and Little Stint 2 fields away)