Travel - I would start off with a sling (either mei tai, ergo or woven wrap) and if you get on with it great. If you find a buggy would be useful in addition to the sling (perhaps when shopping) get a second hand Maclaren XLR and get a carry cot for it if the baby is still young enough for one. The carry cots are quite a recent thing I think so you may have to get that part new. If you know you can easily borrow a car seat on the occasions you will need one do that. Otherwise see if you can buy one second hand off someone you know so you can guarantee it hasn't been in an accident.
Bedding - You don't need a cot. I know a few people who have just had a single mattress on the floor, covered with a fitted sheet, then used cotton blankets and cellular blankets on top. They put blankets around the edges in case they roll and a baby gate on the door. Usually though if they sleep on this from birth by the time they are rolling they are aware of the edge of the bed and don't roll out. Obviously they then made sure the room was very safe (basically making it into a giant play pen)
Changing - I change on the bed or sofa and use a wipe clean changing mat which came free with a changing bag when I signed up to Boots baby club. Also sign up to Bounty and Emma's diary and you get vouchers for stuff. I didn't like the changing bag much so I used a big handbag with lots of pockets that I already owned. I kept a few scrunched up carrier bags in there for wet stuff.
Clothes - Don't bother buying proper clothes. Just buy vests, babygros/rompers for the summer, a couple of hats and some cardigans (or perhaps you know someone who can knit?). They are cheaper, easier to wash and dry, you don't have to iron them and it's easier and more comfortable for a baby to get around in these until they are up and walking.
I started off with:
10 x bodysuits (wrap around kind - the other sort were too big on DS' shoulders and kept falling off)
4 x rompers
6 x babygros
6 x socks
2 x hats
2 x mittens
2 x cardigans
6 x light weight cotton blankets
2 x thicker cotton blankets
millions of muslin squares to be used for spillages, dribble, breast feeding, a comforter, as bibs etc
TBH I don't think I could have coped with less cos it would have meant having to wash much more often and working out how to get it dry quickly when it rained.
If you can find them kimono style or front fastening rompers and sleepsuits are best so you don't have to lie baby on their front to get them dressed. Do NOT get the sort which go over the head which just have poppers on the shoulders and nappy area. Whoever invented those has never changed a baby before!! Tesco and GAP do babygros with built in scratch mitts that fold over when needed so you can't lose them.
Buy the tiniest scratch mitts you can find cos any others will fall off. Failing that socks work just as well.
Storage - We used a big chest of drawers, a nappy stacker which hung on the back of the door to save space and some nice wicker storage boxes. We also used these in the living room as toy boxes.