Take a look at this one from Harbor Freight.
www.harborfreight.com and search for item # 91960. It has an aluminum frame and handle, is fairly light and works great. They list it for $139-$179, but I paid $99.99 +$9.99 s&h. To get that price, you must use this item number 91960-OVGA. In Harbor freight lingo, the last four letters and or numbers are the price code. They have a different price on items frequently. It pays to get on their snail mail list and keep all the catalogs they send. Then, find the cheapest price code on any item of interest from all of the catalogs and the website before you order.
I haven't and am not going to try to move the bike around while it is in the air, strapped down or not. All that strapping the bike to the lift before rolling it around means is that when the bike is on it's side in the floor, the lift will be securely fastened to it. What I've done is to put a Nylon handlebar strap (like you would use to tie the bike down) in the center of the bars and attach a ratchet tie down to a beam above with just a slight tension. I hope it doesn't fall off of the lift, but figure that the strap and ratchet will buy me a few seconds to get my hands on it before it hits the floor and either mashes the s*#t out of me or just crumples some expensive Triumph stuff. Regardless of our choice of lifts, having a way to get the bike off of the floor is very helpful for an old man (49 and counting), especially to clean and lube the chain.