When you are starting out, you will get caught a lot by friends and family. It's typically because one doesn't practice enough before showing the effect. Once you start getting good at it, you learn to rely on people to expose you so that you can honestly know what people are thinking. Now my wife does this for me on purpose. She helps me know if I flash, or my patter stinks, or if the effect just isn't very strong and how I might improve it.
There have been tricks that I don't do anymore because I kept getting caught. Someday I'll revisit them more and get good at them, but getting caught was embarrassing enough that I bailed on that trick for the time being.
On the other hand, I love doing a basic silk vanish to a TT (I use a 12" diamond cut silk ftw). People who have never seen this -it blows them away. But there are a few who have seen it before and used to call me out. (Now the comment I get most is "I saw that before but the other guy had to use a fake finger!") I buffer the people who have seen the trick before by including in my patter, that "Some of you may have even seen this trick before [because I learned it in a kids magic set]" This seems to really disarm those who have seen it.
Because you are just starting out, and you are not able to avoid your dad, a good angle for you to aim at is self working tricks. These tricks can be very strong, and because you don't have to worry about sleights or moves that you may get caught on, you can learn to grow your presentation and confidence. You need these to grow to be able to pull off many sleights. Confidence and presentation can cover even a sloppy double lift. Learn a bunch of self working effects and have fun with presenting (off the top of my head Out of this World is a good one. You can also check out the magic cafe for a wealth of input on these effects:
http://www.themagiccafe.com/forums/viewtopic.php?topic=244245&forum=206&8)
If you want to practice sleights, I would work on an Ambitious card routine. Here's why: It can utilize multiple sleights, which will help you learn a small variety. It uses multiple methods. Start with three phases. Keep it simple. Then add another. Each phase should cancel out the last phase. In my AC I show people how I do it. But I lie. My false explanation makes so much sense, that they cannot fathom how I am able to do it so fast. Even without that though the AC is fun and strong (unless it's 16 phases). Three phases, each using a different method that will cancel out the last. For instance, phase one: double lift with a double backer. Phase two: Marlow tilt. Phase three: pop up move.
There are a gazillion resources (yep a gazillion) on the AC routine. One I would recommend is Born to Perform with Oz Pearlman. It's cheap and has a ton of other wonderful moves on it (as well as a couple other effects) A great deal.
But all in all, keep playing with it. You will get busted more, but there will be many times that you wont. If you get your dad on your side, he might end up being your best asset. Next time he catches you, instead of throwing your arms up and being upset, ask him how he things you might make it better and more deceptive. If he is helping you become better, your relationship will improve in this area - and you will become better! It's similar to magician buddies. Good magic buddies say "good job, but I saw you flash when you..." or "you might try this instead...." Bad magic buddies just say "awesome! good job!" after they see you flash. But the relationship needs to be in place.