The problem with lagers is that they require a constant 50 degrees for the first month, and then 35 ish for another month, give or take. It's generally pretty hard to do a good lager without a fridge or temp control of some kind. That's why people are recommending doing a light Ale instead.
If you have a suitable way to keep the wort at those temps, then by all means, do up a lager kit. Be aware that lagers usually require a large starter for the yeast as well. They are simply more difficult to make right.
You *could* do a California steam style beer with lager yeast at higher temps, but they are still not easy.
A light ale, like a blonde, cream ale, wit, etc. require cool ale temps, which would be around 62-65 degrees or so, for a few days to a week, to come out clean tasting. This is usually not hard to do with a DIY swamp cooler or air conditioned room. They also require smaller starter if using liquid yeast, or 1-2 packets of dry yeast is fine. Much easier to make and fairly close to a lager in flavor.
For equipment I would recommend getting an actual brewing bucket, like an Ale Pail or the other brand. They are larger and will have enough room for the beer and the krausen with less chance for blowoff (mess). They are about $15 for bucket and lid.
I have no experience with either of those two kits. Almost all online stores have their own ingredients kits and they are generally higher quality since the ingredients don't sit in a box most of the time, they are packed fresh when you order. But both brands you mention are well known. Perhaps someone with more experience with them will be able to answer better.
As far as a brewpot or kettle, I suggest the biggest Stainless pot you can get. Or an aluminum pot or porcelain coatedpot. The batch of beer can be upwards of 8 gallons if you do a full boil. If you do extract you can get away with boiling less and adding water later. In that case I recommend no less than a 3 gallon pot.
One nice option is a turkey fryer, which you could have for maybe $50 new. It comes with a kettle and burner large enough to do a full boil in.