There is the Fashion Show Mall and Ross Dress for Less on the strip as well as the high end shop at the Forums Shops, etc.
There is the Premium Outlets near downtown and the LV Outlet Center south of the strip where the best bargains are to be had.
To the Las Vegas Premium Outlet Mall (Downtown)
Citizens Area Transit - CAT
From the Strip take the Deuce (double decker bus) northbound to the Downtown Transportation Center (DTC). Take the Downtown Shopper's Express or the 106 or 108. For more information, visit CAT online. (702) 228-7433
Downtown Shoppers Express
Daily Service 10am - 5:15pm. Stops every 20 minutes.
Las Vegas Outlet Center (South, near the airport)
Citizens Area Transit - CAT
From the Strip, take Deuce Southbound, ask for a transfer to the 303 Southbound. The 303 brings you to the center. Buses run approximately every 20 minutes. Contact CAT for a schedule.
Fare is $2 one-way, $5 for 24-hour pass.
You can take the 301 or 302 route to the SSTT (South Strip Transfer Terminal) And there get on the 303 that goes to the Las Vegas Outlet Center.
As for shows, it depends what you want to see. For the bigger shows such as Celine or any or the Cirque shows it is better to book online in advance to get the seats you want.
For the smaller shows you can book 1/2 price tickets on the day of the show at one of the 1/2 price ticket shops. There's one at the Fashion Show Mall.
luci