The AAP's recommendation is still 4-6 months of age to start solids, so you are within that time frame. My pediatrician told us that as long as a food wasn't a known allergen in either of our families it was fine to give it to my son. That being said you should wait 3-4 days between new foods to make sure your daughter doesn't have an adverse reaction. The foods most likely to cause a reaction are high acidity foods (citrus, tomatoes, pineapple, etc). Most parents also tend to avoid nuts and nut butters because they are common allergens. Eggs (the whites in particular) and fish are also frequently avoided for the first year.
Our son loved fresh fruit in the baby safe feeder (with the mesh). Ripe pear was a big favorite. Using cold fruit also helps with teething and gives them something to gnaw on to make their gums feel better.
Also the idea that you should introduce vegetables before fruit because otherwise they won't eat the vegetables is a myth (research has shown it's not true). My son eats a variety of both fruits and vegetables and we started with mostly fruits. Definitely introduce both and keep in mind that a child sometimes has to try a food 10-15 times before they will decide they want to eat it.