By public transport: You can take the tube from Paddington Station to Waterloo Station. From Waterloo Station, you can walk to the London Eye, which is about a 20-minute walk. Alternatively, you can take the Jubilee Line from Paddington Station to Green Park Station, and then walk to the London Eye, which is about a 10-minute walk.
By taxi or Uber: A taxi or Uber from Paddington Station to the London Eye will cost around £10-15, and will take around 10-15 minutes.