Exact match is the only way. Still, we can use sub-strings. Also spaces or symbols are ignored. So for example, to search the item name "Teoremard Lad: Ruby [Ba]", "ladrubyb" is enough.
The basic ways to expand the right and left room are the use of Room Remodeling (L) or Room Remodeling (S), but we can also use room themes to expand them (scenery passes won't work for this expansion). If room themes are used, the expanded room will be a small version. Probably, most people will use Remodeling (L) here, but there are other options.
Room Remodeling (L) and (S) can be bought/sold in player shops, and also available with 1,500 FUN at FUNporium. Please note that through use of shops, the following holds.
(10-star rarity weapon x4) = (EX-Cubes x4) = (2,000 FUN) = (Room Remodeling (L) + 500 FUN)
Depending on the price on the market, buying the cheapest remodeling ticket in player shops, might not be the cheapest answer.