oh thats across the other way, i live near ipswich road side of tuckswood, but i sometimes take the kids over to the pet shop to kill half an hour and pick up bits from homebase.
but on on the otherside of tuckswood, ie the ipswich road side there is notcutts garden centre, which has a lovely pet bit and a cafe and a big camping shop and also a farm shop, i go there a lot for veg etc and again let the little one look at the pets and have a coffee etc, great for a rainy afternoon!
the big school you talk about is Hewett school its a high school, its meant to be ok, but we didnt like it when we looked around and CNS on Eaton road has a much better reputation and just seemed much friendlier etc.
school wise there is Eaton primary, tuckswood primary (it may be called something diff actually) lakenham primary and cavell primary where the sure start centre is also based.
other schools you could get a place in are Bignold, its near the city centre but lots nr me go there and also colman primary :)
Eaton park is close by, the university has nice grounds and Earlham park to walk around, lovely in the summer :)
Heigham park is very nice, but very busy and there is a park just off Ipswich road also very nice, and as its hidden away it tends to be quiet 
shopwise from where i am its easy to get to tesco or sainsbury or waitrose and there are some local shops as well, a post office, hairdressers, chip shop, co-op etc and there are the garages which are open late (the tescos is a 24hr one)
there are private schools close by as well and also a montessory and a steiner school, so PLENTY of choice :)