Hi Fern, I am not familiar with LaQuinta & Hampton, so cannot make any like for like comparisons, but recommend you try the tripadvisor website
Holiday Reviews - Hotels, Resorts and Holiday Packages - TripAdvisor
as this will allow you to search for hotels by are, rating, cost & read customer reviews on them.
Once you have made a choice, try the various online agents to get some great deals. I often use lastminute.com: hotels, holidays, flights, travel and entertainment at the last minute.
and have in the past got rooms in the Hilton in London at under £25 per night :o) it was listed as a "Top Secret" hotel, but just reading the write up & checking the location usually makes it quite obvious which hotel the deal relates to.
After the initial search you can narrow the results down by star rating, cost, distance etc.
Good luck & happy hunting,
Alan & Katrina