Seeing as how I am getting very familiar with this illness at the moment, I thought I'd better respond
You can't catch shingles - shingles is the chickenpox virus (that remains in your body years after infection) reactivating for some reason (lowered immune system/poor health/stress). However, if you haven't had chickenpox then you can catch chickenpox from your child. You can also catch chickenpox from someone else having shingles. However, the odds are good (97%?) that you've had it as a child and either didn't display many symptoms so it wasn't noticed or you just don't remember. You may well be immune even if you don't ever remember having chickenpox. There is a blood test you can take to see if you have the antibodies - worth doing so you can be aware or be reassured.
There's not a lot you can do if you've been exposed to the chickenpox virus except wait for up to 21 days to see if you get the spots. There is a blood product you can have within 96 hours of exposure that may prevent/delay/reduce symptoms (research seems to be ambiguous). HOWEVER, it's expensive, so generally the NHS will only prescribe to the truly needy - pregnant women, lowered immune system people etc.
You can take a homeopathic remedy called Varicella (30c twice a day for 2-3 days) - I'll let you know if it works :P It's hard to get hold of though, so you'll either need a homeopath to sell it to you or get it offline via somewhere like Ainsworths .
If you do get spots as an adult, then see your doctor immediately as you can be prescribed an anti-viral drug which can reduce the length and severity of the illness - HOWEVER only really effective if taken in the first 24hrs of spots appearing so it's important to move fast.
If you haven't been exposed yet and are not immune as an adult, there is a vaccination you can have (available I think if you are a woman of childbearing age but NOT pregnant, or a health worker, or someone with a lowered immune system) which is highly effective... apparently. Two jabs 8 weeks apart. About 80% effective prevention and 90% effective of reducing severity. However, it didn't work for me, I'm still not immune even though I had it last year, so I'm probably not the best person to recommend it Not much use if you've already been exposed though.
Hope this helps