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No best answer has yet been selected by ShellyHall. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.As it's your first trip, it might be easier to get the tube - Jubilee line from Canary Wharf is only 5 stops to Waterloo and the London Eye is very close to Waterloo station. I recommend buying a travel card for zones 1-2 as you can then use this ticket on all forms of transport so you could get the Docklands Light Railway back to Canary Wharf which, as suggested, would be the more scenic route.
ps. as London Eye is right on the river, if you have time, i recommend taking a walk along the river afterwards and then going over Waterloo bridge as you get a cracking view of Big Ben, Tower Bridge and St Pauls. Enjoy!