Apparently you have outgrown your Fujifilm 7000.

Moving to a DSLR is the next logical step.

I worry about some people who jump from a point-and-shoot camera to a DSLR.

But moving to DSLR from a camera like the 7000 seems to me to be the natural order of things.

You should have enough photographic knowledge, that you will know how to utilize the many features of the 350D.

Go for it!