I did it recently and am glad I did.
I got;
clutch mech (2nd hand XT)
cassette (2nd hand XT)
chain (new – cheap Shimano)
shifter (2nd hand XT)
32t N/W front ring (2nd hand Race Face)
single ring chain ring bolts
Doing it slowly – as in looking for bargains on STW – I got it for less than £100. I was in a similar position to you and would have spent too much money trying to keep 3×9.
32f 36r lets me climb all day long and I’ve very rarely wished I had a bigger ring at the front. This is on a 170mm fs though, coil forks, 2.4″ tires etc. On a lighter hard tail I think I’d be tempted by a 34t front ring and one of those huge rings (42t ?) at the raer.
I was really worried I was going to miss the extra gears. I’m yet to though. 1×10 looks better, there’s less to wear out / be replaced and the simplicity means you can just enjoy the ride. I haven’t dropped a chain or had anything other than great shifting.