I have always found that the "free" planners are just salesmen pointing you in their best interests. Not that it won't get you a good deal in the processes, but, in my experience, they usually just recommend products that give them the best commission, finders fee, kickback, whatever.
Flat fee financial planners are not really to my liking either. This is a taste thing, but generally, I feel like now that they have my fee, what interest do they have in taking care of me. That doesn't mean that they don't give good advise however. They may be a good first step.
Percentage based financial planners, those that charge a percentage of assets under management, are my recommendation. The more money they make me the more money they make. This seems to work out quite well.
Whatever you do, you need to be aware that financial planners are not just about recommending products, or saving money. That's part of it, but a good planner will also help you look at monthly budgets, current costs, liabilities, and investments. You want to look for someone that you can basically tell your goal to - "I want to have x amount of money saved for y date," for example, or "I want to reduce my bills by z amount in x months". Run from any planner that looks only at the large sum as the "solution" or only source of money. You want a planner that will look at your first house mortgage(s), care loans, income, other investments, etc. and come up with a full plan for everything.
If you're only trying to invest the new house money, and that's it, you're better off just sticking with Google and some research on your own.