Advice I'd give is whatever equipment you get now (pots etc.) try to think about the future as well as you'll end up having to buy again to upscale. Never done kits, straight into BIAB AG using Malt Miller recipe packs. Never looked back.
I started on AG using just 1 gallon starter kit bought as a pressie from on line, and picking up a few bits and pieces from Wilkos. Bought a SS pan off ebay (14litre) but should have gone bigger but this still allowed me to do 3 gallon batches which I split into three 1 gallon FVs (5 litre water bottles from tesco act as really good DJ's when you start out).
The best way to do it I reckon. If you want to brew all grain, go straight for it. Kit brewing, about all you learn how to do is sanitise your equipment, test specific gravity and be patient whilst it ferments etc. Personally, I hated all of the faffing with sticky goop, only to end up with 1 beer out of rather a lot of kits that I actually enjoyed the taste of...
Your biggest headache starting out is going to be getting a good rolling boil brewing a decent volume. I started out with a 33 litre SS pan, and just couldn't get a proper rolling boil on the stove. So I switched over to an electric boiler. Or, if you can get gas bottles easily enough, and brew outside, then you could use a big SS pan and a gas burner. Go BIAB (brew in a bag) and you don't need a mash tun etc, just the boiler, a bag, syphon, fermenters etc.
You may consider brewing smaller batches, which is more than doable stove top. However keep in mind how you will feel when you brew a 1 gallon batch of the best beer you have ever tasted in your life... That happened to me once, and I still haven't gotten around to re-brewing it in a larger quantity. lol
One more consideration, your budget. You say you have a baby taking up funds, and I know that one too well (I have 4 daughters, one of whom just gave us a grandson... lol). But be cautious, a penny saved now can sometimes down the line cost more. Heck, lots of people BIAB in 30 litre plastic PECO boilers, and luck out and get one that lasts for years. Others get one, and find the element breaks etc etc. So weight up one off cost vs long term costs.
A final warning, this hobby is as addictive as all heck! Especially once you get the bug for modifying your equipment, getting that bit more out of it, whilst making your brew day that bit easier. DIY makes things cheaper short term, but dearer long term, spreading out the costs as you add a bit here, a bit there. That stainless steel pot you may start with? One day you may decide to cut a hole and fit an element... Then you decide to cut another hole and fit a tap, suddenly you can transfer your wort to the fermenter really easily... Oooh, I know, I'll fit a recirculation pump, suddenly I don't have to stir the mash so much when doing a BIAB, and don't need to vorlauf... Ooh and sparging just got easier too.... On and on it goes... If that's not something you want to do, then consider either jumping in (financially) and getting an all in one system (Bulldog, Grainfather, Brew Devil or the like) giving you all of that from the off, or going for extract brewing instead (better than kit brewing, as you are still building recipes, choosing your own hops etc).
Regarding that starter kit linked to, skip the pressure barrel and go bottles. I had one like that, with the pressure barrel, it just went into the bin after yet another seam burst on me... They're not worth the agro. Oh and the bucket, 2 uses and the lid started letting air in, I use it to weigh my grain into now... lol
