Should these trees be trimmed or removed completely [pic]

[David Georgeson]

So I have a rental property with two fairly mature trees directly in front of it.  Its gotten to the point where I either need to trim them or just cut them down completely to the ground.  I am debating about this because I know most people like mature trees but in this particular case, they almost completely cover up the front of the house.  My thinking is that if I remove them completely it might bring back a little more curb appeal to the property and make it more inviting to potential renters.  I'm afraid if I just trim them I am just kicking the can down the road and will have to keep trimming them every few years.   They are both healthy and don't appear to be doing any damage to the house other than maybe dropping leaves and twigs every now and then.  Thoughts?