Some recommendations/suggestions! Obvs all personal preference so feel free to shout me down etc 
Car seat - Cybex Sirona will go from birth to 4ish and rear facing all that time, can also go forward facing, it also swivels 360. Can't be put into a pushchair but I honestly don't think that's particularly useful. It is expensive - £375 - but will last 4 years so balances out in my view. Wish I'd known of it from the start tbh as bought the maxi cosi pebble which was great but only lasted 9months ish and cost about £250 including the base!
Pushchair - check the weight! The first pushchair I bought - and still have - was very sturdy and comfy for DS but was so heavy to push and was replaced by a lighter model when DS got older. However I LOVED that it faced me when he was little, didn't switch him around until he was 1.
Cot - didn't use until he went into his own room at about 7months. Bought a cot bed so should last a few years but will be putting DS into a double bed when the newbie is 6months ish and needs the cot!
Crib - didn't buy one first off as thought I'd put DS into his cot but he ended up sleeping on me a LOT and then the sleepyhead was recommended and bought a crib for it to go into!
Sleepyhead - loved it, had the baby version and the bigger version, only just stopped using it and was great for travelling as DS felt like he was still in his own bed.
Slings - had a close caboo for the first 5ish months, meant I had my hands free when DH was at work as DS was a Velcro baby so I could wear him and go and make a cuppa etc. Moved onto a buckle carrier - Ergo360 - which we still use for dog walks, it's fab, and the occasional pretty wrap, I live Firespiral and Oscha for wraps, they hold their value and there is a good second hand/resale market.
Hope some of that is helpful!