We introduce and implement two novel ideas for modeling lensed quasars. The first is to require different lenses to agree about H₀. This means that some models for one lens can be ruled out by data on a different lens. We explain using two worked examples. One example models 1115+080 and 1608+656 (time-delay quadruple systems) and 1933+503 (a prospective time-delay system) all together, yielding time-delay predictions for the third lens and a 90% confidence estimate of H₀^-1=14.6+9.4-1.7 Gyr (H₀=67+9-26 km s^-1 Mpc^-1) assuming ΩM=0.3 and Ω_Λ=0.7. The other example models the time-delay doubles 1520+530, 1600+434, 1830-211, and 2149-275, which gives H₀^-1=14.5+3.3-1.5 Gyr (H₀=67+8-13 km s^-1 Mpc^-1). Our second idea is to write the modeling software as a highly interactive Java applet, which can be used both for coarse-grained results inside a browser and for fine-grained results on a workstation. Several obstacles come up in trying to implement a numerically intensive method thus, but we overcome them.