Not every tree can grow in every garden. Some will adapt, whilst others will simply slowly die if planted in the wrong type of soil.
For example, your reference books may say your area is chalk and clay, when it's predominantly clay with chalk seams. This chalk may not be anywhere near your planting area, but could eliminate a selection of trees you may want to plant, so make sure you don't plant near the chalk seam. However, don't forget if deep rooting the tree may eventually hit this chalk and then after years of satisfaction, rapidly decline and eventually die.
The good news is that there are plenty of choices for every kind of soil, so if you don't know what type of soil you have, a useful website is www.landis.org.uk. Often your neighbour or their gardener can help you if you don't know, or check out to see how well their selection of trees are doing. Write down the tree names or take pictures of the trees you like that are growing locally.