A total of 4 reviews of this product on Reddit.
The Lily58 has a similar layout to the Keebio Iris. I bought my kits from Boardsource. The LL4148 surface mount diodes are tiny and can be tricky to solder, but the hot swap sockets are pretty easy to solder.
I recommend visiting https://compare.splitkb.com/ and printing out the outline for keyboards you are interested in and see if you feel comfortable with the layouts.
I tried DSA and XDA keycaps. I like them both, but I like XDA just a little bit more.
I currently own two Lily58 keyboards. One has YMDK Moon Landing XDA keycaps. The other has Drop + MiTo XDA Canvas keycaps. The Canvas set was missing a couple of keycaps that I have on my base layer, so I had to supplement it with a different Canvas set someone was selling on r/mechmarket.
The Lily58 has 1.5u thumb keys. Neither keycap set included these, so I bought G20 keycaps from PimpMyKeyboard. You can get any color you want. I have RBH red with my Canvas keycaps and RCB purple with the Moon Landing keycaps. I think they look nice.
I have Drop + MiTo XDA Canvas keycaps. The ortho kit is $75. I really like it.
I also have these Godspeed knockoff XDA keycaps. They cost $55, but they aren’t quite the same shape as the Canvas keycaps. I like the Canvas keycaps better.
PMK is my go-to place for DSA keycap sets. You will need to buy the English alpha kit ($65) and ortho mods ($29) separately. These are more expensive, but you can build whatever color combination you want. For example, gray (GDE) alphas and red (RBH) mods.
Is that XDA Godspeed actually this set:
The set you posted in the picture seems to have the two shift keycap sizes that you need.
Based on my research into keycap sets, the least expensive 120+ keycap sets seem to be XDA profile. I recently ordered this set, YMDK Moon Landing. I like the colorway, and the 165-key edition of it that I ordered covers every unusual keycap size that I know, except for ortholinear and ergodox key layouts. In other words, it is a rather complete keycap set.
Outside of the XDA sets, the price for 120+ keycap sets tend to start at around $100. Maxkey SA sets, which sell for $100, always include a 2u shift key and have enough 1u novelty keys to cover for a 1u shift key: for example, Maxkey Black SA.
I hope that all of this helps.